Understanding Division Division helps us answer: How many times does one number fit into another? It starts with two numbers: Dividend – the number to be divided (here: 180) Divisor – the number you divide by (here: 4) So when we ask: What is 180 divided by 4? We’re dividing the dividend 180 by the divisor 4. Short Division Method Short division is a quick way to divide when: ...
Factors are the numbers that divide into another number exactly, leaving no remainder. A factor can never be greater than the original number. To find factors efficiently: Start with $1$ and the number itself. Increment your divisor and test: Does this divide the number without a remainder? If yes, add both the divisor and its quotient. Stop when you reach or exceed the square root of the number. Step-by-Step: Factors of 35 Start by adding the obvious factors: $$ 1, \quad 35 $$ ...
A prime number is a number that has exactly two positive factors: $1$ and itself. This guide walks through a step-by-step method to determine if $47$ is a prime number. What Is A Prime Number? A number is considered prime if it has only two distinct positive divisors: $$ \text{Factors of a prime number} = {1, \text{the number itself}} $$ If you can find any other factor, then the number is not prime. ...
What Is 80 Divided By 3? To solve $80 \div 3$, we’ll use the short division method, a quick and efficient technique when working with small divisors and larger dividends. Understanding the Terms Dividend: The number being divided ($80$) Divisor: The number you’re dividing by ($3$) Quotient: The result of the division Remainder: What’s left over if the division isn’t exact Step-by-Step: $80 \div 3$ Step 1: Divide $3$ into $8$ $$ 8 \div 3 = 2\text{ R }2 $$ ...
A factor is a number that divides exactly into another number without leaving a remainder. To find the factors of a number like $90$: Start from $1$ and test incrementally. For each divisor that divides evenly, record both the divisor and the quotient. Stop once the divisor exceeds $\sqrt{90}$. Step-by-Step: Factors of 90 We start with: $$ \text{Initial factors: } 1, \ 90 $$ Try 2: $$ 90 \div 2 = 45 \quad \Rightarrow \text{Add } 2 \text{ and } 45 $$ ...
A prime number is a whole number greater than $1$ that has exactly two distinct factors: $1$ and itself. To check whether a number is prime, try dividing it by all whole numbers between $2$ and $\sqrt{n}$. If none divide exactly, the number is prime. What Is A Prime Number? A number $n$ is prime if: $$ \text{Factors of } n = {1, n} $$ There should be no other whole number (except $1$ and $n$) that divides it evenly. ...
How Do You Divide 51 by 3? Let’s find the result of: $$ \frac{51}{3} $$ using short division. This method is quick and works well when the divisor is a single-digit number. Understand the Division Terms Dividend: 51 (the number to be divided) Divisor: 3 (the number dividing the dividend) Quotient: the result of the division Remainder: what’s left over (if any) Step-by-Step: 51 ÷ 3 Step 1: Divide 3 into 5 $$ 5 \div 3 = 1 \text{ with a remainder of } 2 $$ ...
Factors are numbers that divide exactly into another number without leaving a remainder. A factor is never greater than the number itself. To find the factors of a number: Start with $1$ and the number itself. Try dividing the number by increasing integers. If there is no remainder, add both the divisor and quotient to your factor list. Stop testing once you pass the square root of the number. Step-by-Step: Factors of 25 Begin with: $$ 1, \quad 25 $$ ...
A prime number is a whole number greater than $1$ that has exactly two distinct factors: $1$ and itself. To determine if a number is prime, try dividing it by all whole numbers between $2$ and $\sqrt{n}$. If none divide evenly, the number is prime. What Is A Prime Number? A number $n$ is prime if: $$ \text{Factors of } n = {1, n} $$ It cannot be evenly divided by any number other than $1$ and itself. ...
How Do You Divide 23 by 2? Let’s calculate: $$ \frac{23}{2} $$ using the short division method. This is a quick way to divide when the divisor is a single-digit number. Understand the Terms Dividend: 23 (the number to be divided) Divisor: 2 (the number doing the dividing) Quotient: the result of the division Remainder: what’s left over (if any) Step-by-Step: 23 ÷ 2 Step 1: Divide 2 into 2 $$ 2 \div 2 = 1 $$ ...